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Home/Magazine Archive/November 1966 (Vol. 9, No. 11)/Automatic error bounds on real zeros of rational functions/Abstract

Automatic error bounds on real zeros of rational functions

By Robert H. Dargel, Frank R. Loscalzo, Thomas H. Witt
Communications of the ACM, November 1966, Vol. 9 No. 11, Pages 806-809
10.1145/365876.365913
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A procedure for implementing an interval arithmetic version of the Newton-Raphson method is proposed. The procedure requires only a starting interval over which the zeros of a given rational function are to be located. The method automatically provides bounds for roundoff error.

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